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Finding the Third Proportional to 29,706 and 64,260

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Solution

The third proportional to 29,706 and 64,260 is: 139,007.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,706 : 64,260 = 64,260 : x
  2. Step 2: Convert to fraction form
    29,706/64,260 = 64,260/x
  3. Step 3: Cross multiply
    29,706x = 64,260 × 64,260
  4. Step 4: Simplify right side
    29,706x = 4,129,347,600
  5. Step 5: Solve for x
    x = 4,129,347,600/29,706
  6. Step 6: Final answer
    x = 139,007.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.